Information on Result #927902
Linear OOA(9122, 96, F9, 2, 81) (dual of [(96, 2), 70, 82]-NRT-code), using construction X applied to AG(2;F,64P) ⊂ AG(2;F,86P) based on
- linear OOA(998, 73, F9, 2, 81) (dual of [(73, 2), 48, 82]-NRT-code), using algebraic-geometric NRT-code AG(2;F,64P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(976, 73, F9, 2, 59) (dual of [(73, 2), 70, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,86P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(924, 23, F9, 2, 21) (dual of [(23, 2), 22, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(924, 28, F9, 2, 21) (dual of [(28, 2), 32, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,34P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(2;F,34P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(924, 28, F9, 2, 21) (dual of [(28, 2), 32, 22]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(9122, 48, F9, 3, 81) (dual of [(48, 3), 22, 82]-NRT-code) | [i] | OOA Folding | |